Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data
Abdelaziz Sabiry, Ghizlane Zineddaine, Said Melliani, Abderrazak Kassidi
This work investigates the regularity of solutions to a nonlinear parabolic equation with perturbations and general measure data. Our approach involves a combination of convergence and compactness techniques in variable exponent Sobolev spaces.